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48792813696 = 273511142609
BaseRepresentation
bin101101011100010001…
…110100000010000000
311122221110021202100000
4231130101310002000
51244411430014241
634225355200000
73345063034104
oct553421640200
9148843252300
1048792813696
11197692a9120
129558746000
1347a79305c3
14250c28d904
1514088d9eb6
hexb5c474080

48792813696 has 192 divisors, whose sum is σ = 158844722400. Its totient is φ = 14785597440.

The previous prime is 48792813689. The next prime is 48792813701. The reversal of 48792813696 is 69631829784.

48792813696 is a `hidden beast` number, since 487 + 92 + 8 + 1 + 3 + 69 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270840 + ... + 413448.

Almost surely, 248792813696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48792813696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79422361200).

48792813696 is an abundant number, since it is smaller than the sum of its proper divisors (110051908704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48792813696 is a wasteful number, since it uses less digits than its factorization.

48792813696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142649 (or 142625 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 48792813696 in words is "forty-eight billion, seven hundred ninety-two million, eight hundred thirteen thousand, six hundred ninety-six".